1344314240 has 64 divisors (see below), whose sum is σ = 3225778560. Its totient is φ = 535713792.

The previous prime is 1344314183. The next prime is 1344314249. The reversal of 1344314240 is 424134431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344314249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173489 + ... + 181071.

It is an arithmetic number, because the mean of its divisors is an integer number (50402790).

Almost surely, 2^1344314240 is an apocalyptic number.

1344314240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612889280).

1344314240 is an abundant number, since it is smaller than the sum of its proper divisors (1881464320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1344314240 is an equidigital number, since it uses as much as digits as its factorization.

1344314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1344314240 is about 36664.8911085251. The cubic root of 1344314240 is about 1103.6556722165.

Adding to 1344314240 its reverse (424134431), we get a palindrome (1768448671).

The spelling of 1344314240 in words is "one billion, three hundred forty-four million, three hundred fourteen thousand, two hundred forty".